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lapo4ka [179]
2 years ago
8

Please help with math (30 points)

Mathematics
1 answer:
ikadub [295]2 years ago
8 0

Here we have some problems about circles, the solutions are:

  • a) 490.6 yd^2
  • b) x = 15
  • c) x = 27

<h3>How to find the area of a circle?</h3>

We know that for a circle of diameter D, the area is given by:

A = pi*(D/2)^2

where pi = 3.14

In the image we can see that the diameter of the circle is 25 yd, replacing that in the area equation we get:

A = 3.14*(25yd/2)^2 = 490.6 yd^2

<h3>How to find the value of x?</h3>

<u>For the second image</u>, each line creates two 180° angles. So, if we look at the tilted line, we can see that it is divided in two angles, one of 37° and the other that depends of x, so we can write:

180° = 37° + (9x + 8)°

180° - 37° - 8°  = (9x)°

135°/9° = x = 15

So the value of x is 15.

For the last image:

Notice that we have a 90° angle denoted, then <u>the other 3 sections must add up to 270°.</u>

270° = 54° + (2x + 21)° + (5x + 6)°

Now we solve this for x:

270 - 54 - 21 - 6 = 2x + 5x

189 = 7x

189/7 = x = 27

x is equal to 27

If you want to learn more about circles, you can read:

brainly.com/question/25306774

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In a bag of marbles 12% were blue 18% were green and the rest were purple if the bag has 150 marbles how many were blue or green
baherus [9]

Answer:

45

Step-by-step explanation:

12 % of the marbles are blue, and

18 % of the marbles are green, so

30 % of the marbles are either blue or green.

There are 150 marbles.

30 % × 150 = 0.30 × 150 = 45

The number of blue or green marbles is 45.

8 0
3 years ago
Create an equivalent system of these equations and test your solution <br> x + y = 1<br> x 3y =9
ad-work [718]
An equvilent equation
remember you can do anything to an equation as long asyou do it to both sides


assuming yo have
x+y=1 and
x-3y=9
mulitply both by 2
2x+2y=2
2x-6y=18
those are equvilent



ok, solve initial

x+y=1
x-3y=9
multiply first equation by -1 and add to 2nd equation


-x-y=-1
<u>x-3y=9 +</u>
0x-4y=8

-4y=8
divide both sides by -4
y=-2

sub back
x+y=1
x-2=1
add 2
x=3


x=3
y=-2
(3,-2)

if we test it in other one

2x+2y=2
2(3)+2(-2)=2
6-4=2
2=2
yep

2x-6y=18
2(3)-6(-2)=18
6+12=18
18=18
yep


solution is (3,-2)
4 0
3 years ago
Read 2 more answers
What is the solution to the inequality
Dvinal [7]

Answer:

p > 5 and p <-8

Step-by-step explanation:

To solve this, you first need to isolate p.

First add 6 on both sides of the equation:

-6 + |2p+3| >7\\\\(+6) -6 + |2p+3| >7 +6\\\\2p + 3 > 13

Then subtract 3 from both sides of the equation.

2p+3-3>13-3\\\\2p > 10\\

The divide both sides by 2.

\dfrac{2p}{2}>\dfrac{10}{2}\\\\p>5

Another solution is possible because of the absolute value.

If |2p+3|>13

Then |2p+3|

<em>Thus we can solve the second solution:</em>

|2p+3|

2p+3

Isolate P again by subtracting both sides by 3

2p+3-3

2p

Then divide both sides by 2:

\dfrac{2p}{2}

p

3 0
3 years ago
Read 2 more answers
the difference between 2 whole number is 66 the ratio of the 2 whole number is 2.5 what are the two numbers​​
ch4aika [34]

Given :difference between 2 whole number = 66ratio of the 2 whole number =2:5Let:1 whole number be 2x2 whole number be 5xA/Q

difference between 2 whole number = 66

Let's turn it into algebraic equation:

5x - 2x = 663x= 66x =66 /3x =22

Now Let's put value of x to find two whole numbers

Finaly :1 whole number = 2x1 whole number = 2×221 whole number =44

2 whole number = 5x2 whole number = 5×222 whole number = 110

3 0
2 years ago
If Bob sells each fish at a profit of $1.25, how much money will he have after selling all 24 fish? Show your calculation.
Aleks04 [339]

Answer:  $30

Step-by-step explanation:

So if Bob sells his fish at a profit of $1.25 and he has 24 fish to sell then 1.25*24= 30

(I'm assuming what you mean by "how much money he will have" is profit)

3 0
2 years ago
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